ISL 2005
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In a $\triangle ABC$ satisfying $AB + BC = 3AC$ the incircle has centre I and touches the sides $AB$ and $BC$ at $D$ and $E$ respectively.Let $K$ and $L$ be the symmetric points of $D$ and $E$ with $I$.Prove that the quadrilateral $ACKL$ is cyclic.
Last edited by sourav das on Wed Apr 11, 2012 6:33 pm, edited 1 time in total.
Reason: $L^AT_EXed$
Reason: $L^AT_EXed$
- zadid xcalibured
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Re: ISL 2005
MY SOLUTION:
Last edited by sourav das on Wed Apr 11, 2012 1:07 pm, edited 1 time in total.
Reason: Latexed
Reason: Latexed
- Tahmid Hasan
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Re: ISL 2005
nice use of homothety ,but there are problems with latex.zadid xcalibured wrote:MY SOLUTION:
বড় ভালবাসি তোমায়,মা
- zadid xcalibured
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Re: ISL 2005
ঐ, Homothety কই পাইলি?
- Phlembac Adib Hasan
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Re: ISL 2005
My solution is similar to Jdd vaia.I'll talk about it with him on Friday's PMS class.Actually the second lemma of Zhao's sheet kills this one.(And also, this problem was the first of the related problems of that lemma.)
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